Cross-section data for the reactions 13C(3He,p0)15N to 13C(3He,p15)15N and 13C(3He,d0)14N at energies up to 6 MeV

The cross-sections of the ${}^{13}$C(${}^3$He,p${}_x$)${}^{15}$N reactions for x $=$ 0...15 and reaction angles of 135${}^{\circ }$ and 175${}^{\circ }$ and the ${}^{13}$C(${}^3$He,d${}_0$)${}^{14}$N reaction for a reaction angle of 135${}^{\circ }$ have been measured for energies from 1.5 to 6 MeV using an amorphous hydrocarbon (a–¹³C:H) thin film on silicon and chromium substrates. The cross-sections were determined relative to the Rutherford scattering cross-section of ${}^3$He from a thin gold layer. The calculated uncertainties range from 2 to 7% for 135${}^{\circ }$ and 3 to 15% for 175${}^{\circ }$. The determined cross-sections agree within the uncertainties with previous works and were benchmarked against spectra obtained using thick porous carbon-13 targets. The results are presented in graphical and tabular form.